Solve for Orthogonal Vectors b and c: Dot Product and Scalar Values Explained

krugertown
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By evaluating their dot product, find the values of the scalar s for which the two vectors
b=\hat{x}+s\hat{y} and c=\hat{x}-s\hat{y}
are orthogonal.


I understand that for the two vecotrs to be perpindicular their dot product must be 0. however I am confused how to go about this problem as there are unit vectors.

Any ideas are appreciated. thanks!
 
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gday krugertown

take the dot product & show me what you get...

the unit vectors are generally orthonormal - meaning orthogonal & unit magnitude, this should help...
 
so something like \hat{x}-s^{2}\hat{y}?
 
the results of a dot product should be a scalar not a vector quantity

try writing out the whole dot product
 
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